Finding the Third Proportional to 2,801 and 5,982

Step by Step Solution

1. Step 1: Write the proportion equation
   2,801 : 5,982 = 5,982 : x
2. Step 2: Convert to fraction form
   2,801/5,982 = 5,982/x
3. Step 3: Cross multiply
   2,801x = 5,982 × 5,982
4. Step 4: Simplify right side
   2,801x = 35,784,324
5. Step 5: Solve for x
   x = 35,784,324/2,801
6. Step 6: Final answer
   x = 12,775.55